Name______________________________
WS: Second Difference and Vertex Form
1) Which of the following data sets are first order, second order, third order or none of these.
_______________
_______________
_______________
_______________
_______________
_______________
2) The following data set is from a second order function (quadratic function). Use the data set
to write the symbolic form of the function in vertex form.
f(x) = ___________________
3) The following graph was made by a second order function (quadratic function). Use the
graph to write the symbolic form of the function in vertex form.
10
8
f(x) = ___________________
6
4
2
-10
-5
5
-2
-4
-6
-8
-10
10
4) The following data set is from a second order function (quadratic function). Use the data set
to write the symbolic form of the function in vertex form. Be careful and check your answer
against the given data.
Vertex form:
f(x) = ________________
5) Graph f ( x)  x 2  2 x  2 below and use the graph to help you write f (x) in vertex form.
Vertex form:
f(x) = ________________
6) Find the vertex f ( x)  2 x 2  4 x  4 on the table below and use it to help you write f (x) in
vertex form.
Vertex form:
f(x) = ________________
Use completing of the square to write the following in vertex form. Show you r work.
7) f ( x)  x 2  4 x  7
vertex form f (x) = ____________________________
8)
f ( x)  x 2  3 x  3
vertex form f (x) = ____________________________